

import re
import time
from typing import Optional

import IPython.display as disp

from ..trainer_callback import TrainerCallback
from ..trainer_utils import IntervalStrategy, has_length






def        snake_case__		(    lowerCamelCase_		):
							A      :					Dict      		=					int(lowerCamelCase_		)
							A		,		A		,		A      :					Union[str, Any]      		=					t // 3600, (t // 60) % 60, t % 60
							return F'{h}:{m:02d}:{s:02d}' if h != 0 else F'{m:02d}:{s:02d}'






def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_=300		):
							# docstyle-ignore
							return F'\n    <div>\n      {prefix}\n      <progress value=\'{value}\' max=\'{total}\' style=\'width:{width}px; height:20px; vertical-align: middle;\'></progress>\n      {label}\n    </div>\n    '






def        snake_case__		(    lowerCamelCase_		):
							A      :					Dict      		=					'''<table border="1" class="dataframe">\n'''
							html_code += """  <thead>\n <tr style="text-align: left;">\n"""
							for i in items[0]:
														html_code += F'      <th>{i}</th>\n'
							html_code += "    </tr>\n  </thead>\n  <tbody>\n"
							for line in items[1:]:
														html_code += "    <tr>\n"
														for elt in line:
																					A      :					Any      		=					F'{elt:.6f}' if isinstance(lowerCamelCase_     ,				lowerCamelCase_		) else str(lowerCamelCase_		)
																					html_code += F'      <td>{elt}</td>\n'
														html_code += "    </tr>\n"
							html_code += "  </tbody>\n</table><p>"
							return html_code







class 					__lowercase  :





							"""simple docstring"""

							UpperCAmelCase_						:		List[str]								=	5
							UpperCAmelCase_						:		int								=	0.2




							def __init__(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase = None    ,						__UpperCAmelCase = True    ,						__UpperCAmelCase = None    ,						__UpperCAmelCase = 3_00    ,						)		->       List[Any]:
														A      :					str      		=					total
														A      :					Tuple      		=					'''''' if prefix is None else prefix
														A      :					List[str]      		=					leave
														A      :					str      		=					parent
														A      :					Tuple      		=					width
														A      :					Tuple      		=					None
														A      :					List[str]      		=					None
														A      :					List[str]      		=					None




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase = False    ,						__UpperCAmelCase = None						)		->       Any:
														A      :					Dict      		=					value
														if comment is not None:
																					A      :					Dict      		=					comment
														if self.last_value is None:
																					A      :					str      		=					time.time()
																					A      :					Optional[Any]      		=					value
																					A      :					List[str]      		=					None
																					A      :					str      		=					self.warmup
																					A      :					Optional[Any]      		=					1
																					self.update_bar(__UpperCAmelCase						)
														elif value <= self.last_value and not force_update:
																					return
														elif force_update or self.first_calls > 0 or value >= min(self.last_value + self.wait_for    ,						self.total						):
																					if self.first_calls > 0:
																												self.first_calls -= 1
																					A      :					int      		=					time.time()
																					A      :					Optional[int]      		=					current_time - self.start_time
																					# We could have value = self.start_value if the update is called twixe with the same start value.
																					if value > self.start_value:
																												A      :					Dict      		=					self.elapsed_time / (value - self.start_value)
																					else:
																												A      :					List[str]      		=					None
																					if value >= self.total:
																												A      :					Optional[Any]      		=					self.total
																												A      :					Any      		=					None
																												if not self.leave:
																																			self.close()
																					elif self.average_time_per_item is not None:
																												A      :					List[Any]      		=					self.average_time_per_item * (self.total - value)
																					self.update_bar(__UpperCAmelCase						)
																					A      :					Optional[int]      		=					value
																					A      :					Tuple      		=					current_time
																					if self.average_time_per_item is None:
																												A      :					Union[str, Any]      		=					1
																					else:
																												A      :					int      		=					max(int(self.update_every / self.average_time_per_item						)    ,						1						)




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None						)		->       Any:
														A      :					Dict      		=					''' ''' * (len(str(self.total						)						) - len(str(__UpperCAmelCase						)						)) + str(__UpperCAmelCase						)
														if self.elapsed_time is None:
																					A      :					Dict      		=					f'[{spaced_value}/{self.total} : < :'
														elif self.predicted_remaining is None:
																					A      :					Dict      		=					f'[{spaced_value}/{self.total} {format_time(self.elapsed_time						)}'
														else:
																					A      :					Union[str, Any]      		=					(
																					    f'[{spaced_value}/{self.total} {format_time(self.elapsed_time						)} <'
																					    f' {format_time(self.predicted_remaining						)}'
																					)
																					self.label += f', {1/self.average_time_per_item:.2f} it/s'
														self.label += "]" if self.comment is None or len(self.comment						) == 0 else f', {self.comment}]'
														self.display()




							def       snake_case			(					self						)		->       int:
														A      :					List[Any]      		=					html_progress_bar(self.value    ,						self.total    ,						self.prefix    ,						self.label    ,						self.width						)
														if self.parent is not None:
																					# If this is a child bar, the parent will take care of the display.
																					self.parent.display()
																					return
														if self.output is None:
																					A      :					List[str]      		=					disp.display(disp.HTML(self.html_code						)    ,						display_id=__UpperCAmelCase						)
														else:
																					self.output.update(disp.HTML(self.html_code						)						)






							def       snake_case			(					self						)		->       Optional[int]:
														if self.parent is None and self.output is not None:
																					self.output.update(disp.HTML(''''''						)						)







class 					__lowercase  (						_SCREAMING_SNAKE_CASE				):





							"""simple docstring"""

							def __init__(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None						)		->       Tuple:
														super().__init__(__UpperCAmelCase						)
														A      :					Dict      		=					None if column_names is None else [column_names]
														A      :					Optional[int]      		=					None




							def       snake_case			(					self						)		->       Dict:
														A      :					Any      		=					html_progress_bar(self.value    ,						self.total    ,						self.prefix    ,						self.label    ,						self.width						)
														if self.inner_table is not None:
																					self.html_code += text_to_html_table(self.inner_table						)
														if self.child_bar is not None:
																					self.html_code += self.child_bar.html_code
														if self.output is None:
																					A      :					Any      		=					disp.display(disp.HTML(self.html_code						)    ,						display_id=__UpperCAmelCase						)
														else:
																					self.output.update(disp.HTML(self.html_code						)						)




							def       snake_case			(					self    ,						__UpperCAmelCase						)		->       int:
														if self.inner_table is None:
																					A      :					List[Any]      		=					[list(values.keys()						), list(values.values()						)]
														else:
																					A      :					int      		=					self.inner_table[0]
																					if len(self.inner_table						) == 1:
																												# We give a chance to update the column names at the first iteration
																												for key in values.keys():
																																			if key not in columns:
																																										columns.append(__UpperCAmelCase						)
																												A      :					Union[str, Any]      		=					columns
																					self.inner_table.append([values[c] for c in columns]						)




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None    ,						__UpperCAmelCase=3_00						)		->       Any:
														A      :					str      		=					NotebookProgressBar(__UpperCAmelCase    ,						prefix=__UpperCAmelCase    ,						parent=self    ,						width=__UpperCAmelCase						)
														return self.child_bar






							def       snake_case			(					self						)		->       int:
														A      :					List[str]      		=					None
														self.display()







class 					__lowercase  (						_SCREAMING_SNAKE_CASE				):





							"""simple docstring"""

							def __init__(					self						)		->       Optional[int]:
														A      :					List[str]      		=					None
														A      :					str      		=					None
														A      :					Any      		=					False




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						**__UpperCAmelCase						)		->       Dict:
														A      :					Union[str, Any]      		=					'''Epoch''' if args.evaluation_strategy == IntervalStrategy.EPOCH else '''Step'''
														A      :					Any      		=					0
														A      :					List[Any]      		=					0
														A      :					int      		=					[self.first_column] + ['''Training Loss''']
														if args.evaluation_strategy != IntervalStrategy.NO:
																					column_names.append('''Validation Loss'''						)
														A      :					Optional[int]      		=					NotebookTrainingTracker(state.max_steps    ,						__UpperCAmelCase						)




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						**__UpperCAmelCase						)		->       List[str]:
														A      :					Union[str, Any]      		=					int(state.epoch						) if int(state.epoch						) == state.epoch else f'{state.epoch:.2f}'
														self.training_tracker.update(
														    state.global_step + 1    ,						comment=f'Epoch {epoch}/{state.num_train_epochs}'    ,						force_update=self._force_next_update    ,						)
														A      :					List[Any]      		=					False




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None    ,						**__UpperCAmelCase						)		->       Optional[int]:
														if not has_length(__UpperCAmelCase						):
																					return
														if self.prediction_bar is None:
																					if self.training_tracker is not None:
																												A      :					Any      		=					self.training_tracker.add_child(len(__UpperCAmelCase						)						)
																					else:
																												A      :					List[Any]      		=					NotebookProgressBar(len(__UpperCAmelCase						)						)
																					self.prediction_bar.update(1						)
														else:
																					self.prediction_bar.update(self.prediction_bar.value + 1						)




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						**__UpperCAmelCase						)		->       str:
														if self.prediction_bar is not None:
																					self.prediction_bar.close()
														A      :					Union[str, Any]      		=					None




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None    ,						**__UpperCAmelCase						)		->       Tuple:
														# Only for when there is no evaluation
														if args.evaluation_strategy == IntervalStrategy.NO and "loss" in logs:
																					A      :					Optional[int]      		=					{'''Training Loss''': logs['''loss''']}
																					# First column is necessarily Step sine we're not in epoch eval strategy
																					A      :					Optional[int]      		=					state.global_step
																					self.training_tracker.write_line(__UpperCAmelCase						)




							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase=None    ,						**__UpperCAmelCase						)		->       Tuple:
														if self.training_tracker is not None:
																					A      :					Optional[int]      		=					{'''Training Loss''': '''No log''', '''Validation Loss''': '''No log'''}
																					for log in reversed(state.log_history						):
																												if "loss" in log:
																																			A      :					int      		=					log['''loss''']
																																			break

																					if self.first_column == "Epoch":
																												A      :					Dict      		=					int(state.epoch						)
																					else:
																												A      :					Union[str, Any]      		=					state.global_step
																					A      :					Union[str, Any]      		=					'''eval'''
																					for k in metrics:
																												if k.endswith('''_loss'''						):
																																			A      :					Union[str, Any]      		=					re.sub(R'''\_loss$'''    ,						''''''    ,						__UpperCAmelCase						)
																					A      :					List[Any]      		=					metrics.pop('''total_flos'''    ,						__UpperCAmelCase						)
																					A      :					Optional[Any]      		=					metrics.pop('''epoch'''    ,						__UpperCAmelCase						)
																					A      :					Optional[Any]      		=					metrics.pop(f'{metric_key_prefix}_runtime'    ,						__UpperCAmelCase						)
																					A      :					int      		=					metrics.pop(f'{metric_key_prefix}_samples_per_second'    ,						__UpperCAmelCase						)
																					A      :					Tuple      		=					metrics.pop(f'{metric_key_prefix}_steps_per_second'    ,						__UpperCAmelCase						)
																					A      :					Dict      		=					metrics.pop(f'{metric_key_prefix}_jit_compilation_time'    ,						__UpperCAmelCase						)
																					for k, v in metrics.items():
																												if k == f'{metric_key_prefix}_loss':
																																			A      :					Tuple      		=					v
																												else:
																																			A      :					Tuple      		=					k.split('''_'''						)
																																			A      :					List[Any]      		=					''' '''.join([part.capitalize() for part in splits[1:]]						)
																																			A      :					str      		=					v
																					self.training_tracker.write_line(__UpperCAmelCase						)
																					self.training_tracker.remove_child()
																					A      :					int      		=					None
																					# Evaluation takes a long time so we should force the next update.
																					A      :					Dict      		=					True






							def       snake_case			(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						__UpperCAmelCase    ,						**__UpperCAmelCase						)		->       str:
														self.training_tracker.update(
														    state.global_step    ,						comment=f'Epoch {int(state.epoch						)}/{state.num_train_epochs}'    ,						force_update=__UpperCAmelCase						)
														A      :					Optional[int]      		=					None









from math import factorial







class 					__lowercase  :





							"""simple docstring"""

							def __init__(					self    ,						__UpperCAmelCase    ,						__UpperCAmelCase						)		->       Optional[int]:
														A      :					Union[str, Any]      		=					real
														if isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					A      :					str      		=					[1] * rank
														else:
																					A      :					Dict      		=					rank




							def __repr__(					self						)		->       List[str]:
														return (
														    f'{self.real}+'
														    f'{"+".join(str(__UpperCAmelCase						)+"E"+str(n+1						)for n,dual in enumerate(self.duals						)						)}'
														)




							def       snake_case			(					self						)		->       Union[str, Any]:
														A      :					List[Any]      		=					self.duals.copy()
														while cur[-1] == 0:
																					cur.pop(-1						)
														return Dual(self.real    ,						__UpperCAmelCase						)




							def __add__(					self    ,						__UpperCAmelCase						)		->       Any:
														if not isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					return Dual(self.real + other    ,						self.duals						)
														A      :					int      		=					self.duals.copy()
														A      :					Any      		=					other.duals.copy()
														if len(__UpperCAmelCase						) > len(__UpperCAmelCase						):
																					o_dual.extend([1] * (len(__UpperCAmelCase						) - len(__UpperCAmelCase						))						)
														elif len(__UpperCAmelCase						) < len(__UpperCAmelCase						):
																					s_dual.extend([1] * (len(__UpperCAmelCase						) - len(__UpperCAmelCase						))						)
														A      :					List[str]      		=					[]
														for i in range(len(__UpperCAmelCase						)						):
																					new_duals.append(s_dual[i] + o_dual[i]						)
														return Dual(self.real + other.real    ,						__UpperCAmelCase						)

							UpperCAmelCase_						:		int								=	__add__




							def __sub__(					self    ,						__UpperCAmelCase						)		->       List[str]:
														return self + other * -1




							def __mul__(					self    ,						__UpperCAmelCase						)		->       List[str]:
														if not isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					A      :					Union[str, Any]      		=					[]
																					for i in self.duals:
																												new_duals.append(i * other						)
																					return Dual(self.real * other    ,						__UpperCAmelCase						)
														A      :					Optional[Any]      		=					[0] * (len(self.duals						) + len(other.duals						) + 1)
														for i, item in enumerate(self.duals						):
																					for j, jtem in enumerate(other.duals						):
																												new_duals[i + j + 1] += item * jtem
														for k in range(len(self.duals						)						):
																					new_duals[k] += self.duals[k] * other.real
														for index in range(len(other.duals						)						):
																					new_duals[index] += other.duals[index] * self.real
														return Dual(self.real * other.real    ,						__UpperCAmelCase						)

							UpperCAmelCase_						:		int								=	__mul__




							def __truediv__(					self    ,						__UpperCAmelCase						)		->       Optional[int]:
														if not isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					A      :					Optional[Any]      		=					[]
																					for i in self.duals:
																												new_duals.append(i / other						)
																					return Dual(self.real / other    ,						__UpperCAmelCase						)
														raise ValueError




							def __floordiv__(					self    ,						__UpperCAmelCase						)		->       Union[str, Any]:
														if not isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					A      :					List[Any]      		=					[]
																					for i in self.duals:
																												new_duals.append(i // other						)
																					return Dual(self.real // other    ,						__UpperCAmelCase						)
														raise ValueError






							def __pow__(					self    ,						__UpperCAmelCase						)		->       Any:
														if n < 0 or isinstance(__UpperCAmelCase    ,						__UpperCAmelCase						):
																					raise ValueError('''power must be a positive integer'''						)
														if n == 0:
																					return 1
														if n == 1:
																					return self
														A      :					Dict      		=					self
														for _ in range(n - 1						):
																					x *= self
														return x






def        snake_case__		(    lowerCamelCase_     ,				lowerCamelCase_     ,				lowerCamelCase_		):
							if not callable(lowerCamelCase_		):
														raise ValueError('''differentiate() requires a function as input for func'''		)
							if not isinstance(lowerCamelCase_     ,				(float, int)		):
														raise ValueError('''differentiate() requires a float as input for position'''		)
							if not isinstance(lowerCamelCase_     ,				lowerCamelCase_		):
														raise ValueError('''differentiate() requires an int as input for order'''		)
							A      :					Any      		=					Dual(lowerCamelCase_     ,				1		)
							A      :					Dict      		=					func(lowerCamelCase_		)
							if order == 0:
														return result.real
							return result.duals[order - 1] * factorial(lowerCamelCase_		)


if __name__ == "__main__":
		import doctest

		doctest.testmod()






		def        snake_case__		(    lowerCamelCase_		):
									return y**2 * y**4

		print(differentiate(f, 9, 2))






